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Basins of Attraction of a Nonlinear Nanomechanical Resonator

Kozinsky, I. and Postma, H. W. Ch. and Kogan, O. and Husain, A. and Roukes, M. L. (2007) Basins of Attraction of a Nonlinear Nanomechanical Resonator. Physical Review Letters, 99 (20). Art. No. 207201. ISSN 0031-9007. doi:10.1103/PhysRevLett.99.207201.

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We present an experiment that systematically probes the basins of attraction of two fixed points of a nonlinear nanomechanical resonator and maps them out with high resolution. We observe a separatrix which progressively alters shape for varying drive strength and changes the relative areas of the two basins of attraction. The observed separatrix is blurred due to ambient fluctuations, including residual noise in the drive system, which cause uncertainty in the preparation of an initial state close to the separatrix. We find a good agreement between the experimentally mapped and theoretically calculated basins of attraction.

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Roukes, M. L.0000-0002-2916-6026
Additional Information:© 2007 The American Physical Society. (Received 26 May 2007; published 13 November 2007) We acknowledge partial support from the DARPA MTO/MGA (via DOI No. NBCH1050001). O. Kogan acknowledges support from the NSF Grant No. DMR-0314069. We thank M. Barbic for building the nanowire fabrication setup and I. Bargatin and M. C. Cross for useful comments on the manuscript.
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)NBCH1050001
Issue or Number:20
Record Number:CaltechAUTHORS:KOZprl07
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9193
Deposited By: Archive Administrator
Deposited On:20 Nov 2007
Last Modified:08 Nov 2021 20:57

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